Staff Selection Commission Sub Inspector Exam
Question : The weight of a body at the centre of the earth is:
Option 1: Half the weight at the surface
Option 2: Zero
Option 3: Twice the weight at the surface
Option 4: Infinite
Correct Answer: Zero
Solution : The answer is Zero.
The weight of a body at the earth's core is zero because the acceleration due to gravity (g) is equal to 0. As we move towards the equator's centre, the acceleration caused by gravity decreases to zero from its highest
Question : Directions: Three of the following four–letter clusters are alike in a certain way and one is different. Pick the odd one out.
Option 1: CSMH
Option 2: YNID
Option 3: JYTO
Option 4: IXSN
Correct Answer: CSMH
Solution : Let's check each option – First option: CSMH; C – 16 = S; S – 6 = M; M – 5 = H Second option: YNID; Y – 15 = N; N – 5 = I; I – 5 = D Third option: JYTO; J
Question : If $x^2-4 x+1=0$, then what is the value of $\left(x^6+x^{-6}\right)$?
Option 1: 2786
Option 2: 2702
Option 3: 2716
Option 4: 2744
Correct Answer: 2702
Solution : Given: $x^2 - 4x + 1 = 0$ Divided by $x$ ⇒ $x - 4 + \frac{1}{x} = 0$ ⇒ $x + \frac{1}{x} = 4$ As we know, $(x + \frac{1}{x})^2 = x^2 + \frac{1}{x^2} + 2$ ⇒ $4^2 = x^2 + \frac{1}{x^2} + 2$
Question : In October 2019, who received his 6th Golden Shoe as the top scorer in the European Leagues?
Option 1: Lionel Messi
Option 2: Franz Beckenbauer
Option 3: Cristiano Ronaldo
Option 4: Johan Cruyff
Correct Answer: Lionel Messi
Solution : The correct answer is Lionel Messi.
Lionel Messi received his sixth Golden Shoe as the top scorer in the European Leagues in October 2019. This was his third consecutive award. He was the captain of Barcelona. He was named the World's Best Player
Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution'. When we arrived at Jhansi station, we are keeping our luggages in the cloak room.
Option 1: No substitution
Option 2: are keeping our luggage
Option 3: kept our luggages
Option 4: kept our luggage
Correct Answer: kept our luggage
Solution : The fourth option is the correct choice.
The original sentence uses the present tense "are keeping", but in this context, past tense is more appropriate because the action of keeping the luggage in the cloakroom occurred after the arrival at Jhansi station. Additionally,
Question : Directions: If + means ÷, – means +, × means – and ÷ means ×, then what will come in place of (?) in the given equation? 8 ÷ 5 – 5 × 10 + 2 = ?
Option 1: 40
Option 2: 30
Option 3: 35
Option 4: 45
Correct Answer: 40
Solution : Given: + means ÷, – means +, × means – and ÷ means × 8 ÷ 5 – 5 × 10 + 2 = ?
After interchanging the given mathematical signs, we get – ⇒ 8 × 5 + 5 – 10 ÷ 2 ⇒
Question : Directions: Four letter clusters have been given, out of which three are alike in some manner and one is different. Select the odd letter cluster.
Option 1: SRWX
Option 2: HGLM
Option 3: POTU
Option 4: DBGH
Correct Answer: DBGH
Solution : Let's check each option – First option: SRWX; S – 1 = R; R + 5 = W; W + 1 = X Second option: HGLM; H – 1 = G; G + 5 = L; L + 1 = M Third option: POTU; P
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
Because of his ill health, the doctor has advised him (not to refrain) from smoking.
(1) not to refrained
(2) to resort to
(3) to refrain
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct answer is the third option. The phrase "not to refrain" is redundant because "refrain" itself means to avoid or abstain from.
The meanings of other options are as follows:
Question : Directions: Four groups of numbers have been given, out of which three are alike in some manner and one is different. Select a different group.
Option 1: 632 : 325 : 236
Option 2: 561 : 615 : 165
Option 3: 289 : 829 : 928
Option 4: 426 : 642 : 246
Correct Answer: 632 : 325 : 236
Solution : Let's check each option – First option: 632 : 325 : 236; In all three numbers, the same digits are not repeated. Second option: 561 : 615 : 165; In all three numbers, the same digits are repeated. Third option: 289
Question : The following table shows the income of a company in a year from various sectors:
What is the difference (in lakh INR) between the income from the maximum earning sector and the minimum earning sector?
Option 1: 48
Option 2: 40
Option 3: 30
Option 4: 55
Correct Answer: 55
Solution : According to the question The maximum income is from the "Sales" sector, which is 115 lakh INR The minimum income is from the "Communication" sector, which is 60 lakh INR Now, ⇒ Difference = Maximum Income – Minimum Income = 115 – 60 = 55
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